Elements of Plane and Solid GeometryGinn and Heath, 1877 - 398 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 6 - 10 από τα 44.
Σελίδα 20
... distances from the foot of the perpendicular , the more remote is the greater . C F K H A B E Let CF be ... same point in a 1 , cutting off equal dis- tances from the foot of the 1 , are equal ) . But CH + HECK + KE , $ 54 ( The sum of ...
... distances from the foot of the perpendicular , the more remote is the greater . C F K H A B E Let CF be ... same point in a 1 , cutting off equal dis- tances from the foot of the 1 , are equal ) . But CH + HECK + KE , $ 54 ( The sum of ...
Σελίδα 23
... equally distant from the extremi- ties of that straight line . 60. SCHOLIUM . Since two points determine the position of a straight line , two points equally distant from the extremities of a straight line determine the perpendicular at ...
... equally distant from the extremi- ties of that straight line . 60. SCHOLIUM . Since two points determine the position of a straight line , two points equally distant from the extremities of a straight line determine the perpendicular at ...
Σελίδα 34
... equally distant from each other . E M H A B C F P D K Let A B and CD be two parallel lines , and from any two points in AB , as E and H , let EF and HK be drawn perpendicular to AB . We are to prove EF = HK . Now EF and HK are L to CD ...
... equally distant from each other . E M H A B C F P D K Let A B and CD be two parallel lines , and from any two points in AB , as E and H , let EF and HK be drawn perpendicular to AB . We are to prove EF = HK . Now EF and HK are L to CD ...
Σελίδα 38
... equal . 92. DEF . In any triangle , the angle opposite the base is called the Vertical angle , and its vertex is called the Vertex of the triangle . 93. DEF . The Altitude of a triangle is the perpendicular distance from the vertex to ...
... equal . 92. DEF . In any triangle , the angle opposite the base is called the Vertical angle , and its vertex is called the Vertex of the triangle . 93. DEF . The Altitude of a triangle is the perpendicular distance from the vertex to ...
Σελίδα 39
... distance between two points , ACAB + B C. 97. Any side of a triangle is greater than the difference of the other two ... equal straight lines drawn from a point to a straight line make equal acute angles with that line . 4. Show that ...
... distance between two points , ACAB + B C. 97. Any side of a triangle is greater than the difference of the other two ... equal straight lines drawn from a point to a straight line make equal acute angles with that line . 4. Show that ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC ABCD altitude arc A B axis base and altitude centre circle circumference circumscribed coincide conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal arcs equal respectively equally distant equiangular polygon equilateral equivalent frustum given point greater Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B line A B measured by arc middle point mutually equiangular number of sides parallelogram parallelopiped perimeter perpendicular plane MN prism prove pyramid Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rectangles regular polygon right angles right triangle SCHOLIUM segment sides of equal similar polygons slant height sphere spherical angle spherical polygon spherical triangle square straight line drawn subtend surface symmetrical tangent tetrahedron THEOREM third side trihedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 126 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 175 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 38 - Any side of a triangle is less than the sum of the other two sides.
Σελίδα 349 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 83 - A straight line perpendicular to a radius at its extremity is a tangent to the circle. Let MB be perpendicular to the radius OA at A.
Σελίδα 207 - To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line.
Σελίδα 188 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 146 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 134 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent. Let a: b = c: d — e :/= g: h.